基于HSV色彩空间的瓷砖选色搜索算法

Search Algorithm of Tile Color Selection Based on HSV Color Space

针对2021年第十三届“华中杯”大学生数学建模挑战赛A题,首先,基于HSV色彩空间,通过对自定分量进行权重调整,得到改进后的HSV分量改进距离,实现对颜色接近程度的判断,并通过验证,表明该公式效果良好;然后,以新增颜色对所有颜色的距离和最大为目标,寻找空间中颜色点分布最稀疏的区域,确定应优先增加的瓷砖颜色;最后,建立新增颜色后表现效果与成本的估算函数,找到了表现效果与成本的最佳平衡点,解决了新增颜色的选择问题.

Aiming at Question A of the 13th"Huazhong Cup"College Students Mathematical Modeling Challenge in 2021,based on the HSV color space,this paper obtains the improved distance of the HSV component by adjusting the weight of the self-defined component,and achieves the judgement of the color proximity.With the distance and maximum of the added color to all colors as the target,the region with the sparsest distribution of color points in the space is searched for,and the tile colors that should be added in priority are determined.Finally,the estimation function of performance effect and cost after adding new colors is established,and the best balance between performance effect and cost is found to solve the problem of choosing new colors.